Let us now briefly summarise a few central properties of the 7-qubit colour code [1]}, [2]}, which are relevant for the QEC protocol studied below. With this code (see Fig. REF ) it is possible to store and manipulate \(k=1\)  logical qubit redundantly encoded in entangled states distributed over \(n=7\)  physical qubits. The code has a logical distance of \(d=3\)  and, therefore, one can detect and correct at least \(t=\left\lfloor {\frac{d-1}{2}}\right\rfloor =1\)  arbitrary fault (phase and/or bit flip fault) on any of the seven physical data qubits. The code belongs to the family of CSS codes [3]}, [2]}, allowing one to independently detect and correct bit- and phase-flip faults. These faults are identified by measuring a set of three weight-four \(X\) -type and three \(Z\) -type parity checks. The measurements indicate parity violations resulting from the bit and phase flips and are used to deduce the presence of these faults.
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